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4160243136 = 26377342403
BaseRepresentation
bin1111011111111000…
…0100010111000000
3101201221020020201010
43313332010113000
532010010240021
61524452240520
7205044324510
oct36776042700
911657206633
104160243136
111845392275
12981310140
13513b98a3a
142b6747840
15195379976
hexf7f845c0

4160243136 has 112 divisors (see below), whose sum is σ = 12752409344. Its totient is φ = 1172330496.

The previous prime is 4160243123. The next prime is 4160243137. The reversal of 4160243136 is 6313420614.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×41602431362 = 34615245901270228992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160243137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76911 + ... + 119313.

Almost surely, 24160243136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376204672).

4160243136 is an abundant number, since it is smaller than the sum of its proper divisors (8592166208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4160243136 is a wasteful number, since it uses less digits than its factorization.

4160243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42498 (or 42488 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4160243136 is about 64499.9467906757. The cubic root of 4160243136 is about 1608.3216356194.

The spelling of 4160243136 in words is "four billion, one hundred sixty million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 12264 14016 16352 24528 32704 42403 49056 84806 98112 127209 169612 254418 296821 339224 508836 593642 678448 890463 1017672 1187284 1356896 1780926 2035344 2374568 2713792 3095419 3561852 4070688 4749136 6190838 7123704 8141376 9286257 9498272 12381676 14247408 18572514 18996544 21667933 24763352 28494816 37145028 43335866 49526704 56989632 65003799 74290056 86671732 99053408 130007598 148580112 173343464 198106816 260015196 297160224 346686928 520030392 594320448 693373856 1040060784 1386747712 2080121568 4160243136